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Finding the Fourth Proportional to 9,746.24, 14,604 and 5,852.48

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Solution

The fourth proportional to 9,746.24, 14,604 and 5,852.48 is: 8,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.24 : 14,604 = 5,852.48 : x
  2. Step 2: Convert to fraction form
    9,746.24/14,604 = 5,852.48/x
  3. Step 3: Cross multiply
    9,746.24x = 14,604 × 5,852.48
  4. Step 4: Simplify right side
    9,746.24x = 85,469,617.92
  5. Step 5: Solve for x
    x = 85,469,617.92/9,746.24
  6. Step 6: Final answer
    x = 8,769.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.